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Boolean algebra. Combinational and sequential circuits. Minimization. Number representations and computer arithmetic (fixed and floating point)

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}& \textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{2020}&\textbf{2019}&\textbf{2018}&\textbf{2017-1}&\textbf{2017-2}&\textbf{2016-1}&\textbf{2016-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} & 1&2&3&2&4&2&3&2&3&3&1&2.5&4
\\\hline\textbf{2 Marks Count} & 2&2&2&1&2&2&0&4&2&0&0&1.7&4
\\\hline\textbf{Total Marks} & 5&6&7&4&8&6&3&10&7&3&\bf{3}&\bf{5.9}&\bf{10}\\\hline
\end{array}}}$$

Highest voted questions in Digital Logic

33 votes
3 answers
101
32 votes
4 answers
105
The next state table of a $2-$bit saturating up-counter is given below.$\begin{array}{cc|cc} Q_1 & Q_0 & Q_1^+ & Q_0^+ \\ \hline 0 & 0 & 0 & 1 \\ 0 & 1 & 1 & 0 \\ 1 & 0...
32 votes
4 answers
108
A RAM chip has a capacity of 1024 words of 8 bits each (1K × 8). The number of 2 × 4 decoders with enable line needed to construct a 16K × 16 RAM from 1K × 8 RAM is(A...
32 votes
3 answers
109
Consider the circuit shown below. In a certain steady state, the line $Y$ is at $'1'$. What are the possible values of $A, B$ and $C$ in this state?$A=0, B=0, C=1$$A=0, B...
31 votes
2 answers
111
31 votes
6 answers
112
31 votes
2 answers
115
The octal representation of an integer is $(342)_8$. If this were to be treated as an eight-bit integer in an $8085$ based computer, its decimal equivalent is$226$$-98$$7...
31 votes
7 answers
116
Which one of the following expressions does NOT represent exclusive NOR of $x$ and $y$?$xy + x′ y′$$x\oplus y′$$x′\oplus y$$x′\oplus y′$
31 votes
4 answers
117
If $P, Q, R$ are Boolean variables, then$(P + \bar{Q}) (P.\bar{Q} + P.R) (\bar{P}.\bar{R} + \bar{Q})$ simplifies to$P.\bar{Q}$$P.\bar{R}$$P.\bar{Q} + R$$P.\bar{R} + Q$
30 votes
5 answers
119
$(34.4)_{8} × \left ( 23.4 \right )_{8}$ evaluates to$(1053.6)_{8}$$(1053.2)_{8}$$(1024.2)_{8}$None of these
30 votes
3 answers
120
Consider the following expression$a\bar d + \bar a\bar c + b\bar cd$Which of the following Karnaugh Maps correctly represents the expression?